Shelby B.

asked • 10/29/15

The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assume the growth follows a Malthusian model.

By what factor will the current population of the Earth increase in 200 years?

Anthony F.

Malthusian models have the following form:
P(t)=Pο(e^rt) where
Pο=the initial population size:which for this problem is 6,000,000,000,
r=the population growth rate: which... is 1.9%=1.9/100=0.019,
t=time: which...is 200 years.
Thus, according to the Malthusian model, the current population of the Earth will increase in 200 years to P(200)=6000000000(e^.019(200))=6000000000(e^3.8)=6000000000(44.7)=268200000000=2682x10^8..
https://en.wikipedia.org/wiki/Malthusian_growth_model
 
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10/29/15

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